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`(tan^(-1)(sqrt3)-sec^(-1)(-2))/(cosec^(-1)(-sqrt2)+cos^(-1)(-(1)/(2)))` is equal toA. `(4)/(5)`B. `-(4)/(5)`C. `(3)/(5)`D. 0 |
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Answer» Correct Answer - B `(tan^(-1)(sqrt3)-(pi-sec^(-1)(2)))/(-cosec^(-1)(sqrt2)+pi-cos^(-1)((1)/(2)))` `=((pi)/(3)-(pi-(pi)/(3))/(-(pi)/(4)+pi-(pi)/(4))=((2pi)/(3)-x))/(pi-(pi)/(4)-(pi)/(3))` `=(-(pi)/(3))/((12pi-3pi-4pi)/(12))=(-(pi)/(3))/((5pi)/(12))=-(4)/(5)` |
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